Jucys-Murphy算子在哈伯德模型中的应用
On the application of Jucys-Murphy operators in the Hubbard model
摘要：
将基于Jucys-Murphy算子的算子技术应用于一维哈伯德模型的直接对角化过程。Young正交基由对称群作用在磁链节点集上的不可约基给出。以半满磁环情形下的吸引哈伯德模型为例，研究了$SU(2)\times SU(2)$在自旋和赝自旋空间中的作用.这些技术大大减少了哈伯德哈密顿量的本征问题的大小。
英文摘要：
The operator techniques based on the Jucys-Murphy operators were applied in the procedure of an immediate diagonalization of the one-dimensional Hubbard model. The Young orthogonal basis was given by the irreducible basis of the symmetric group acting on the set of nodes of the magnetic chain. The example of the attractive Hubbard model at the half-filled magnetic rings case was considered where the group $SU(2)\times SU(2)$ acts within the spin and pseudo-spin space. These techniques significantly reduced size of the eigenproblem of the Hubbard Hamiltonian.
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